TY  - BOOK
AU  - Courant, Richard
AU  - Hilbert, David
TI  - Methods of mathematical physics [Vol.1]
SN  - 9788126515776
U1  - 517 
PY  - 2004///
CY  - New Delhi
PB  - Wiley
KW  - Mathematical physics
N1  - First English edition translated and revised from the German original
N2  - Table of Contents:

Part I: The Algebra of Linear Transformations and Quadratic Forms

Transformation to Principal Axes of Quadratic and Hermitian Forms
Minimum-Maximum Property of Eigenvalues
Part II: Series Expansion of Arbitrary Functions
Orthogonal Systems of Functions
Measure of Independence and Dimension Number
Fourier Series
Legendre Polynomials
Part III: Linear Integral Equations
The Expansion Theorem and Its Applications
Neumann Series and the Reciprocal Kernel
The Fredholm Formulas
Part IV: The Calculus of Variations
Direct Solutions
The Euler Equations
Part V: Vibration and Eigenvalue Problems
Systems of a Finite Number of Degrees of Freedom
The Vibrating String
The Vibrating Membrane
Green's Function (Influence Function) and Reduction of Differential Equations to Integral Equations
Part VI: Application of The Calculus of Variations To Eigenvalue Problems
Completeness and Expansion Theorems
Nodes of Eigen functions
Part VII: Special Functions Defined By Eigenvalue Problems
Bessel Functions
Asymptotic Expansions
Additional Bibliography
Index
ER  -